期刊
ADVANCES IN ENGINEERING SOFTWARE
卷 164, 期 -, 页码 -出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.advengsoft.2021.103067
关键词
Plasticity; Implicit integration; Return mapping algorithm; General yield function; Efficiency; Memory cost
类别
资金
- Walloon Region of Belgium
- bureau detudes Greisch [8096]
A new strain-rate independent return mapping algorithm is developed in this paper to handle arbitrary partitions of stresses for general associative elasto-plastic material models, ensuring optimal computational efficiency and memory costs.
Structural theories often consider constraints on the stresses, creating a partition into active and fixed compo-nents. Sophisticated nonlinear material models are usually described in 3D-continuum form. A reformulation of the material models is then necessary in order to enforce the constraint on the relevant stress components. In this paper, a new strain-rate independent return mapping algorithm is developed in order to deal with arbitrary partitions of the stresses considering general associative elasto-plastic material models. The developed algorithm works directly with the active stress and strain components, satisfying the constraints on the relevant stresses components at each integration point of each element and yielding optimal computational efficiency and memory costs. The tangent operator is obtain in closed-form, providing quadratic convergence to the local iterative process. A comparison of the proposed approach to a previously developed algorithm is made to highlight its properties.
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